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Finding the Fourth Proportional to 461.72, 692.64 and 137.09

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Solution

The fourth proportional to 461.72, 692.64 and 137.09 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.72 : 692.64 = 137.09 : x
  2. Step 2: Convert to fraction form
    461.72/692.64 = 137.09/x
  3. Step 3: Cross multiply
    461.72x = 692.64 × 137.09
  4. Step 4: Simplify right side
    461.72x = 94,950.55
  5. Step 5: Solve for x
    x = 94,950.55/461.72
  6. Step 6: Final answer
    x = 205.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.